3313883133 has 48 divisors (see below), whose sum is σ = 5451293952. Its totient is φ = 1921968000.

The previous prime is 3313883123. The next prime is 3313883161.

3313883133 is a `hidden beast` number, since 331 + 3 + 8 + 8 + 313 + 3 = 666.

3313883133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3313883133 - 2²⁶ = 3246774269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313883113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216028 + ... + 230858.

It is an arithmetic number, because the mean of its divisors is an integer number (113568624).

Almost surely, 2^3313883133 is an apocalyptic number.

3313883133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3313883133 is a deficient number, since it is larger than the sum of its proper divisors (2137410819).

3313883133 is a wasteful number, since it uses less digits than its factorization.

3313883133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14946 (or 14943 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3313883133 is about 57566.3368037258. The cubic root of 3313883133 is about 1490.8904385863.

It can be divided in two parts, 3313 and 883133, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 3313883133 in words is "three billion, three hundred thirteen million, eight hundred eighty-three thousand, one hundred thirty-three".